Question

What are the coordinates of the midpoint of the segment whose endpoints are A(−1, 9) and B(3, 8) ? Enter your answer, as decimals, in the boxes.

Answer 1

Answer:

Just took the test :))

Step-by-step explanation:

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Answer 2

We are given coordinates of the end points of the a segment AB as

A(−1, 9) and B(3, 8).

$\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

$\left(x_1,\:y_1\right)=\left(-1,\:9\right),\:\left(x_2,\:y_2\right)=\left(3,\:8\right)$

$=\left(\frac{3-1}{2},\:\frac{8+9}{2}\right)$

$=\left(1,\:\frac{17}{2}\right)$

17/2 can be written as decimal 8.5.

Therefore, coordinate of the midpoint is (1, 8.5)